Algebraic and Geometric Topology 2 (2002), paper no. 29, pages 649-664.

An almost-integral universal Vassiliev invariant of knots

Simon Willerton

Abstract. A `total Chern class' invariant of knots is defined. This is a universal Vassiliev invariant which is integral `on the level of Lie algebras' but it is not expressible as an integer sum of diagrams. The construction is motivated by similarities between the Kontsevich integral and the topological Chern character.

Keywords. Kontsevich integral, Chern character

AMS subject classification. Primary: 57M27. Secondary: 57R20, 17B10.

DOI: 10.2140/agt.2002.2.649

E-print: arXiv:math.GT/0105190

Submitted: 9 May 2001. (Revised: 17 April 2002.) Accepted: 20 June 2002. Published: 9 August 2002.

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Simon Willerton
Department of Pure Mathematics, University of Sheffield
The Hicks Building, Hounsfield Road, Sheffield, S3 7RH, UK

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